Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 230931 Luke Durant 1 58.0015 55563 Curtis Cooper 9 56.5769 49999 Patrick Laroche 1 56.4714 40734 Jonathan (Jon) Pace 1 56.2664 33956 Ryan Propper 367.5 56.0844 7826 Serge Batalov 392.833 54.6168 6853 Edson Smith 1 54.4841 6628 Odd Magnar Strindmo 1 54.4507 4349 Hans-Michael Elvenich 1 54.0294 2632 Steven R. Boone 1 53.5273 2542 Péter Szabolcs 1 53.4922 2427 Dr. James Scott Brown 193 53.4462 2270 Tom Greer 129 53.3790 1490 Anonymous Person(s) 215 52.9582 1453 Dr. Martin Nowak 1 52.9330 1268 Mark Williams 5 52.7967 1147 Josh Findley 1 52.6968 994 Jonas Skendelis 1 52.5535 974 Valter Cavecchia 80 52.5335 972 Rob Gahan 33.5 52.5314

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.